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Finding the Fourth Proportional to 3,978.81, 5,968.22 and 1,057.01

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Solution

The fourth proportional to 3,978.81, 5,968.22 and 1,057.01 is: 1,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.81 : 5,968.22 = 1,057.01 : x
  2. Step 2: Convert to fraction form
    3,978.81/5,968.22 = 1,057.01/x
  3. Step 3: Cross multiply
    3,978.81x = 5,968.22 × 1,057.01
  4. Step 4: Simplify right side
    3,978.81x = 6,308,433.10
  5. Step 5: Solve for x
    x = 6,308,433.10/3,978.81
  6. Step 6: Final answer
    x = 1,585.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.